Thực hiện phép nhân:

a) 0,5x²y(4x² – 6xy + y²);

Cho ba đa thức:

M = 3x³ – 5x²y + 5x – 3y;

N = 4xy – 4x + y;

P = 3x³ + x²y + x + 1.

Tính M + N – P và M – N – P.

Tìm đa thức V sao cho

V + 4y³ – 2xy² + x²y – 9 = 4y³ – 3.

All of the following are mentioned as advantages that a student can benefit from studying abroad EXCEPT _____.

A. meeting leading experts in his field

B. learning a new language

C. having an opportunity to study in the best university

D. gaining knowledge that can aid in becoming an expert

Tìm đa thức U sao cho

U – 3x²y + 2xy² – 5y³ = 2xy² – xy + 1.

The word “promote” can be best replaced by _____.

A. improve

B. lift

C. raise

D. signal

Cho hai đa thức:

M = 3x²y² – 0,8xy² + 2y² – 1;        N = –3x²y² – 0,2xy² + 2.

Hãy so sánh bậc của đa thức M và đa thức M + N.

A. has no advantage

A. has no advantage

B. enriches his knowledge about people and other ways of thinking

C. has no effects

D. causes some troubles

Tìm tổng P + Q và hiệu P – Q của hai đa thức:

P = 4x²y² – 3xy³ + 5x³y – xy + 2x – 3;

Q = –4x²y² – 4xy³ – x³y + xy + y + 1.

Which of the following statement is NOT true according to the passage?

A. When studying abroad, a student is homesick and feels lonely.

B. When studying abroad, a student may spend a lot of money for accommodation and transportation.

C. When studying abroad a student cannot go home immediately in emergency.

D. When studying abroad, limited language proficiency will not affect the student’s grades.

Studying abroad _____.

A. has only disadvantages

B. has only advantages

C. has both advantages and disadvantages

D. has neither advantages nor advantages

Tìm bậc của mỗi đa thức sau:

a) 5x⁴ – 3x³y + 2xy³ – x³y + 2y⁴ – 6x²y² – 2xy³;

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 45.

A. As

B. However

C. Although

D. Meanwhile

b) Tính giá trị của N tại x = 2; y = –2; z = 3.

Cho đa thức N = 1,5x³y² – 3xyz + 2x²y – 1,5x³y² + xy²z + 2,5xyz.

Viết đa thức Q thu gọn với ba biến x, y, z và thoả mãn điều kiện: Q có 10 hạng tử; tất cả các hạng tử của Q đều có hệ số bằng 1 và có bậc 3.

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 44.

A. keen

B. interesting

C. absorbed

D. liking

Viết đa thức P thu gọn với hai biến x và y thoả mãn điều kiện: P có 3 hạng tử; tất cả các hạng tử của P đều có hệ số bằng 1 và có bậc 2.

b) Tìm các hạng tử bậc 3 trong dạng thu gọn của M.

Cho đa thức M = x³ – 2xy + 3xyz – 4xy² + 5x²y – 6xyz + 7xy² – 8xy.

a) Thu gọn đa thức M.

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 43.

A. doing

B. working

D. earning

Những biểu thức nào sau đây là đa thức:

$3x^{2}y-\frac{1}{\sqrt{2}}x{y}^2+0,7xy-1; xy+\frac{x}{y}; \pi ; \frac{1}{x^2+y}; -0,5+x.$

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 42.

A. hosts

B. landlords

C. owners

D. employers

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 41.

A. make up

B. set up

C. include

D. consist

He spent all his money. He even borrowed some from his friends.

A. As soon as he borrowed some money from his friends, he spent it all.

B. He borrowed some money from his friends and spent it all.

C. Not only did he spend all his money, but he also borrowed some from his friends.

D. Not only did he spend all his money but also he borrowed some from his friends.

You took lots of warm clothes. Actually, it was not necessary.

A. It is not necessary for you to take so many warm clothes.

B. You needn’t have taken so many warm clothes.

C. You have taken so many warm clothes that I don’t need.

D. You mustn’t take lots of warm clothes as it will be not necessary.

Tính giá trị của tổng bốn đơn thức sau đây khi x = –6, y = 15:

$11x^2{y}^3; -\frac{3}{7}{x}^2{y}^3; -12x^2{y}^3; \frac{10}{7}{x}^2{y}^3.$

More petrol is consumed nowadays than ten years ago.

A. Not so much petrol was consumed ten years ago as nowadays.

B. Petrol consumption is going down nowadays.

C. We had more petrol ten years ago than we do nowadays.

D. We should consume as much petrol as possible.

I last read a book three months ago.

A. I read a book three months ago at last.

B. I haven’t read a book for three months.

C. The book three months ago was the last one I read.

D. I have been reading a book for the last three months.

b) Tìm đơn thức B biết rằng 2x²yz – B = 3x²yz.

As the clerks were processing the applications, Harry figured that it will take four hours for his to be reviewed.

A. processing

B. will tale

C. for his

D. to be reviewed

a) Tìm đơn thức A biết rằng A – xy²z = 4xy²z.

b) Tìm đơn thức với ba biến x, y, z cùng bậc với M, có hệ số bằng  $1-\sqrt{3}$, biết rằng số mũ của y và z lần lượt là 1 và 2.

Our trip to Swiss Alps had to be put out twice because of bad weather

A. Our

B. to

C. put out

D. because of

Cho đơn thức  $M=-\frac{3}{5}{x}^{2}y{z}^3$.

a) Tìm đơn thức đồng dạng với M và có hệ số bằng  $1+\sqrt{3}$;

Though my grandfather is old, she is very healthy and alert.

A. my

B. is

C. she is

D. and

Sam _____, but I’m not sure as he didn’t leave a message on the answering machine.

A. must have called

B. might have called

C. can’t have called

D. should have called

b)  $N=xy\sqrt{5}{x}^2$ khi  $x=-2,y=\sqrt{5}$.

You _____ buy a dictionary; there are a lot of dictionaries of all kinds in class.

A. may not

B. mustn’t

C. can’t

D. needn’t